Search a number
-
+
2429397640261 = 27737937336199
BaseRepresentation
bin100011010110100011011…
…000100010010001000101
322121020200220021002010001
4203112203120202101011
5304300401243442021
65100014434401301
7340342511140054
oct43264330422105
98536626232101
102429397640261
118573356a7449
12332a00430231
13148125523b07
148582509c39b
15432da6b8091
hex235a3622445

2429397640261 has 16 divisors (see below), whose sum is σ = 2445650512000. Its totient is φ = 2413204291008.

The previous prime is 2429397640247. The next prime is 2429397640277. The reversal of 2429397640261 is 1620467939242.

It is a cyclic number.

It is not a de Polignac number, because 2429397640261 - 27 = 2429397640133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429397640361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391898440 + ... + 391904638.

It is an arithmetic number, because the mean of its divisors is an integer number (152853157000).

Almost surely, 22429397640261 is an apocalyptic number.

It is an amenable number.

2429397640261 is a deficient number, since it is larger than the sum of its proper divisors (16252871739).

2429397640261 is a wasteful number, since it uses less digits than its factorization.

2429397640261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588.

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 2429397640261 in words is "two trillion, four hundred twenty-nine billion, three hundred ninety-seven million, six hundred forty thousand, two hundred sixty-one".

Divisors: 1 277 379 3733 6199 104983 1034041 1414807 1717123 2349421 23140867 391901539 650789617 6410020159 8770388593 2429397640261